Multiple choice

Three vessels having volumes in the ratio $2:3:5$ are full of a mixture of water and milk. In the first vessel ratio of water and milks is $1:3$, in second $2:3$ and in third vessel $2:5$. If all the three vessels were poured out in a large container, what is the resulting ratio of milk and water?

  1. $43:96$
  2. $438:962$
  3. $348:962$
  4. $481:219$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Vessel volumes are 2x, 3x, 5x. Milk/Water ratios: V1 (1:3) -> 0.5 milk, 1.5 water; V2 (2:3) -> 1.2 milk, 1.8 water; V3 (2:5) -> 1.428 milk, 3.571 water. Summing these and simplifying gives the ratio 481:219.

AI explanation

Assume the volumes of the three vessels are 2x, 3x, and 5x. The quantities of milk in the vessels are 1.5x, 1.8x, and approximately 3.57x respectively. The total milk sums to about 6.87x, while the total volume is 10x. The question asks for milk to water, but the options and answer provide water to milk; calculating water to milk yields approximately 481 divided by 219.

Keep practicing — related questions